Journal ArticleDOI
Moduli Spaces for Real Algebraic Curves and Real Abelian Varieties
Mika Seppälä,Robert Silhol +1 more
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This article is published in Mathematische Zeitschrift.The article was published on 1989-06-01. It has received 68 citations till now. The article focuses on the topics: Moduli of algebraic curves & Moduli space.read more
Citations
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Journal ArticleDOI
Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc
TL;DR: In this article, the Lagrangian boundary invariants of stable maps with Lagrangians were studied. But their main application is to a situation where their proposed theory leads to a well-defined algebro-geometric computation very similar to well-known localization techniques in Gromov-Witten theory.
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Moduli of J-Holomorphic Curves with Lagrangian Boundary Conditions and Open Gromov-Witten Invariants for an $S^1$-Equivariant Pair
TL;DR: In this article, a Kuranishi structure with corners was constructed and the Euler number was defined for the special case where the expected dimension of the moduli space is zero, and there is an $S^1$ action on the pair $(X,L)$ which preserves $J$ and acts freely on $L$.
Journal ArticleDOI
A geometric parametrization for the virtual Euler characteristics of the moduli spaces of real and complex algebraic curves
TL;DR: For the moduli spaces of real and complex algebraic curves, this article showed that the Euler characteristic of the modulus space of real curves of genus g with a fixed point free involution is 9 (1X) where Bg is the gth Bernoulli number.
Journal ArticleDOI
Bose-Fermi duality and entanglement entropies
TL;DR: In this article, the authors investigate the extent to which Renyi entropies are universal quantities for a given theory, and to which they distinguish different theories, by comparing the entanglement spectra of the massless Dirac fermion and the compact free boson in two dimensions.
Journal ArticleDOI
Bose-Fermi duality and entanglement entropies
TL;DR: In this paper, the authors investigated the extent to which entropies are universal quantities for a given theory, and to which they distinguish different theories, by comparing the entanglement spectra of the massless Dirac fermion and the compact free boson in two dimensions.
References
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Book
Geometric Invariant Theory
TL;DR: Geometric invariant theory for moduli spaces has been studied extensively in the mathematical community as mentioned in this paper, with a large number of applications to the moduli space construction problem, see, for instance, the work of Mumford and Fogarty.
Book
Univalent Functions and Teichmüller Spaces
TL;DR: In this paper, the authors define quasiconformal mappings as a family of mappings of a disc to the complement of a single disc and define the notion of quasidiscs.
Book
Topics in complex function theory
TL;DR: In this article, the authors developed the higher parts of function theory in a unified presentation, starting with elliptic integrals and functions and uniformization theory, continuing with automorphic functions and the theory of abelian integrals, and finally with the theories of modular functions in several variables.
Journal ArticleDOI
Real algebraic curves
Benedict H. Gross,Joe Harris +1 more
TL;DR: Gauthier-Villars as discussed by the authors implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/conditions).
Book
Foundations of the theory of Klein surfaces
TL;DR: In this article, the theory of klein surfaces is used to take advantage of the limited budget of the reader to obtain knowledge and experience and make more knowledge even in less time every day.